What is (\partial)/(\partial x)(e^{13xy}) ?

The answer to (\partial)/(\partial x)(e^{13xy}) is e^{13xy}*13y

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(\partial)/(\partial x)(e^{13xy})

\frac{\partial}{\partial x} (e^{13 x y})

e^{13 x y} \cdot 13 y

Solution steps

\frac{\partial}{\partial x} (e^{13 x y})

Treat

y

as a constant

Apply the chain rule:

e^{13 x y} \frac{\partial}{\partial x} (13 x y)

= e^{13 x y} \frac{\partial}{\partial x} (13 x y)

\frac{\partial}{\partial x} (13 x y) = 13 y

= e^{13 x y} \cdot 13 y

n = 1 \sum \infty \frac{cos ( n \cdot π )}{n ^{\frac{3}{8}}}

x \to 0 lim (\frac{sin ( π )}{x})

\frac{d}{d x} (cos (x^{2} y))

y^{^{'}} = \frac{x y + y ^{2}}{x ^{2}}

y^{^{''}} + 4 y^{^{'}} + 4 y = (7 + x) e^{- 2 x}

What is (\partial)/(\partial x)(e^{13xy}) ?
The answer to (\partial)/(\partial x)(e^{13xy}) is e^{13xy}*13y